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Minimal exactly solved model with the extreme Thouless effect.

Agata Fronczak1, Piotr Fronczak1, Andrzej Krawiecki1

  • 1Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland.

Physical Review. E
|February 13, 2016
PubMed
Summary

We introduce a simple spin model demonstrating a mixed-order phase transition, the Thouless effect. This model aids in classifying these complex transitions, previously overlooked in thermodynamic systems.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Mixed-order phase transitions, like the Thouless effect, are complex and often misclassified.
  • Existing classifications of thermodynamic transitions do not adequately encompass these hybrid phenomena.

Purpose of the Study:

  • To present a minimal, exactly solvable model exhibiting the Thouless effect.
  • To provide a foundation for a new taxonomy of phase transitions.
  • To facilitate experimental designs for observing such transitions.

Main Methods:

  • Derivation of the model's Hamiltonian.
  • Calculation of the partition function.
  • Analysis of thermodynamic properties.

Main Results:

  • The model successfully exhibits a mixed-order phase transition (Thouless effect).
  • Thermodynamic properties, including discontinuous magnetization and diverging susceptibility, were identified.
  • The model's simplicity allows for straightforward analysis and potential experimental realization.

Conclusions:

  • The presented spin model is a valuable tool for understanding and classifying mixed-order phase transitions.
  • Further research into generalizations and experimental applications is warranted.
  • This work contributes to the need for a revised taxonomy of phase transitions.